Find a pair of complementary angles such that the difference of their measures is 12 degrees.
To find a pair of complementary angles, we need to first understand what complementary angles are. Complementary angles are two angles whose measures add up to 90 degrees.
Let's assume one of the angles to be x degrees. According to the given condition, the difference between the two angles is 12 degrees. So, the second angle would be x + 12 degrees.
Since the sum of the measures of the two angles should be 90 degrees (as they are complementary), we can write the equation:
x + (x + 12) = 90
Now, let's solve this equation to find the value of x:
2x + 12 = 90
2x = 90 - 12
2x = 78
x = 78/2
x = 39
Therefore, one of the angles is 39 degrees, and the other angle, x + 12, would be 39 + 12 = 51 degrees.
So, the pair of complementary angles is 39 degrees and 51 degrees, with their difference being 12 degrees.